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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 44 · 40 sums
TalentJR

The method (Around or inside): Perimeter of a regular shape = number of sides × side. Rectangle: 2 × (length + width). Area of a rectangle = length × width; square = side × side. Cost of fencing = perimeter × rate per metre; cost of painting = area × rate per square metre. Cut-out shape: area of the big rectangle − area of the part cut out.

NameDateTime takenScore ___ / 40
  1. 1.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  2. 2.From a rectangle 7 cm long and 12 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  4. 4.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a rectangle is 62 cm and its length is 18 cm. What is its width (in cm)?
  6. 6.The perimeter of a rectangle is 70 cm and its length is 25 cm. What is its width (in cm)?
  7. 7.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 8 cm. What is its area (in square cm)?
  9. 9.A wall is 4 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  12. 12.From a rectangle 20 cm long and 11 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A wall is 8 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A wall is 10 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A square has a perimeter of 20 cm. What is its area (in square cm)?
  17. 17.The perimeter of a rectangle is 34 cm and its length is 12 cm. What is its width (in cm)?
  18. 18.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.Each side of a square is 8 cm. What is its perimeter (in cm)?
  20. 20.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  21. 21.A square has a perimeter of 80 cm. What is its area (in square cm)?
  22. 22.The perimeter of a rectangle is 60 cm and its length is 21 cm. What is its width (in cm)?
  23. 23.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
  24. 24.A rectangular field is 95 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  26. 26.A square has a perimeter of 76 cm. What is its area (in square cm)?
  27. 27.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  28. 28.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  29. 29.A wall is 7 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.From a rectangle 9 cm long and 9 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 13 cm long and 8 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  35. 35.From a rectangle 19 cm long and 6 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A square has a perimeter of 28 cm. What is its area (in square cm)?
  37. 37.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
  38. 38.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  39. 39.A rectangular field is 100 m long and 50 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 51
  2. 57
  3. 20
  4. 57
  5. 13
  6. 10
  7. 160
  8. 4
  9. 800
  10. 168
  11. 6
  12. 212
  13. 2340
  14. 1440
  15. 1250
  16. 25
  17. 5
  18. 1700
  19. 32
  20. 125
  21. 400
  22. 9
  23. 7
  24. 4140
  25. 3
  26. 361
  27. 128
  28. 12
  29. 490
  30. 2400
  31. 76
  32. 36
  33. 64
  34. 45
  35. 102
  36. 49
  37. 6
  38. 3
  39. 7500
  40. 1690

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